Questions: Graph the line. y=1/5 x-2

Graph the line. y=1/5 x-2
Transcript text: Graph the line. \[ y=\frac{1}{5} x-2 \]
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Solution

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Solution Steps

Step 1: Identify the y-intercept

The y-intercept is the constant term in the equation, which is -2. This means the line crosses the y-axis at the point (0, -2).

Step 2: Identify the slope

The slope is the coefficient of x, which is 1/5. This means that for every 5 units we move to the right along the x-axis, we move 1 unit up along the y-axis.

Step 3: Plot the y-intercept and use the slope to find another point

Plot the point (0, -2). From this point, move 5 units to the right and 1 unit up. This gives us the point (5, -1).

Step 4: Draw the line

Draw a straight line through the points (0, -2) and (5, -1).

Final Answer: The graph of the line is a straight line passing through the points (0, -2) and (5, -1).

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